M13 537 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	2,195.0150	79.1045%	400000000	400000000	0.1144	7.8165%	2,195.1294	80.7378%
Target	2⁴⁴	0.0002	68.1818%	500	10000	0.0000	1.3863%	0.0002	68.6229%
Difference	+23	+2,195.0148	+10.9227%	+399999500	+399990000	+0.1144	+6.4302%	+2,195.1292	+12.1149%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
13537	2165921	7	21.047	80 2⁴ × 5	-	16	16	2.100e-11	4.576e-9	9.312e-9
13537	5929207	7	22.499	219 3 × 73	2008-08-26	3	73	4.323e-11	1.949e-9	2.219e-9
13537	10288121	8	23.294	380 2² × 5 × 19	2008-08-26	5	19	8.934e-11	1.648e-9	2.910e-9
13537	11993783	8	23.516	443 443	2008-08-26	1	443	9.047e-11	7.173e-9	1.285e-8
13537	45013341855278298504791	23	75.253	1662604042818877835 5 × 75944153 × 4378491239	2008-08-29	75944153	4378491239	591,565	0.0888	0.1274

exponent	prime factors	composite factor	digits	bits*
13537	2165921 5929207	12842193954647	14	43.546
13537	2165921 10288121	22283257324441	14	44.341
13537	2165921 11993783	25977586469143	14	44.562
13537	5929207 10288121	61000399050047	14	45.794
13537	5929207 11993783	71113622120081	14	46.015
13537	10288121 11993783	123393490751743	15	46.810
13537	2165921 5929207 10288121	132122045310876848287	21	66.840
13537	2165921 5929207 11993783	154026487535947959601	21	67.062
13537	2165921 10288121 11993783	267260552882505950303	21	67.857
13537	5929207 10288121 11993783	731625549119669857801	21	69.310
13537	2165921 5929207 10288121 11993783	1584643140974824458078199721	28	90.356
13537	2165921 45013341855278298504791	97495342404526227575795427511	29	96.299
13537	5929207 45013341855278298504791	266893421621709074442696330737	30	97.752
13537	10288121 45013341855278298504791	463102707621467623691408887711	30	98.547
13537	11993783 45013341855278298504791	539880254317025316875687714353	30	98.769
13537	2165921 5929207 45013341855278298504791	578070066652313740225999279366213777	36	118.799
13537	2165921 10288121 45013341855278298504791	1003043879594196776973320029479896831	37	119.594
13537	2165921 11993783 45013341855278298504791	1169337980310585791352706409959164113	37	119.815
13537	5929207 10288121 45013341855278298504791	2745831815748159184664467416878275177	37	121.047
13537	5929207 11993783 45013341855278298504791	3201061783058286727996545725755808071	37	121.268
13537	10288121 11993783 45013341855278298504791	5554353381924328820080417163477100713	37	122.063
13537	2165921 5929207 10288121 45013341855278298504791	5947254792197068689407647932032410649643017	43	142.093
13537	2165921 5929207 11993783 45013341855278298504791	6933246938223387448189006314874745572948391	43	142.315
13537	2165921 10288121 11993783 45013341855278298504791	12030290631330924202317397223135485453401673	44	143.110
13537	5929207 10288121 11993783 45013341855278298504791	32932910952579403910322550008608569887224591	44	144.562
13537	2165921 5929207 10288121 11993783 45013341855278298504791	71330083423321735096849727837195482298707373363311	50	165.609

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-08-27	Seth_Tr	Manual testing	400000000	400000000		-	skipped known factor: 2165921 skipped known factor: 5929207 skipped known factor: 10288121 skipped known factor: 11993783	-	-	0.114	-	-	7.817%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-08-26	ANONYMOUS	Manual testing	?	?	10288121	23.294	8	6.79005e-12	0.000	4.54627e-10
2008-08-26	ANONYMOUS	Manual testing	?	?	11993783	23.516	8	7.91577e-12	0.000	5.29999e-10
2008-08-26	ANONYMOUS	Manual testing	?	?	5929207	22.499	7	1.95661e-12	0.000	1.31004e-10

ECM factoring results:

Total ECM effort:	24.098 GHz-days
Estimated T-Level:	37.007

Digits	B1	Complete	FacMiss
20	11000	552.067	0.000%
25	50000	130.011	0.000%
30	250000	22.670	0.000%
35	1000000	3.299	3.692%
40	3000000	0.401	66.932%
45	11000000	0.042	95.858%
50	44000000	0.004	99.606%

ECM Summary

B1	B2	factor	curves	GHz-days
		45013341855278298504791	1	0.00000e+0
50000	5000000		148	0.030
250000	25000000		551	0.567
500000	50000000		10	0.021
1000000	100000000		1,421	5.848
3000000	300000000		291	3.592
3000000	426600550		1,000	14.04

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-08-29	ANONYMOUS	Manual testing			45013341855278298504791	75.253		1		1	-
2009-04-07	Matthias Wurtinger	WUR_E6600	50000	5000000						50	0.010
2009-06-07	unconnected	dual5430	250000	25000000						30	0.031
2009-06-09	Rob_Dee	twopc	50000	5000000						80	0.016
2009-07-07	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-07	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-08	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-08	Rob_Dee	twopc	50000	5000000						6	0.001
2009-07-09	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-21	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-24	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-28	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-31	Rob_Dee	twopc	500000	50000000						5	0.010
2009-08-10	Rob_Dee	twopc	500000	50000000						5	0.010
2010-06-12	James Hintz	home2	250000	25000000						481	0.495
2010-12-30	James Hintz	newestmember	1000000	100000000						3	0.012
2011-01-09	James Hintz	newestmember	1000000	100000000						3	0.012
2011-01-12	James Hintz	newestmember	1000000	100000000						3	0.012
2011-01-14	James Hintz	newestmember	1000000	100000000						3	0.012
2011-01-17	James Hintz	newestmember	1000000	100000000						3	0.012
2011-01-21	James Hintz	newestmember	1000000	100000000						3	0.012
2011-01-24	James Hintz	newestmember	1000000	100000000						3	0.012
2011-01-27	James Hintz	newestmember	1000000	100000000						3	0.012
2011-01-31	James Hintz	newestmember	1000000	100000000						3	0.012
2011-03-31	James Hintz	newestmember	1000000	100000000						3	0.012
2011-04-10	James Hintz	17_051310	1000000	100000000						11	0.045
2017-05-28	kkmrkkblmbrbk	c4.large	1000000	100000000						1380	5.679
2019-02-24	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-26	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-28	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-03-02	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-04	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-06	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-08	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-09	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-10	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-12	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-14	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-16	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-19	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-21	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-23	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-26	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-28	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-03-30	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-04-01	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-04-03	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-04-05	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-04-07	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-09	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-04-11	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-14	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-04-18	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-04-21	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-04-24	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-26	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-28	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-05-01	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-05-04	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-05-06	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-05-09	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-05-11	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-05-14	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-05-15	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-05-19	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-05-22	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-05-26	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-05-30	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-03	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-07	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-10	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-14	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-18	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-22	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-25	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-29	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-07-12	Niels_Mache_Nextcloud		3000000	300000000						3	0.037
2019-07-22	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-07-24	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-07-26	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-07-29	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-07-31	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-03	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-05	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-08	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-10	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-12	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-15	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-17	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-08-20	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-22	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-25	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-27	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-08-29	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-01	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-03	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-09-06	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-08	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-11	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-09-13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-16	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-18	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-09-21	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-23	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-25	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-28	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-30	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-03	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-05	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-08	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-10	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-15	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-18	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-20	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-22	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-25	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-27	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-30	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-01	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-11-04	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-06	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-08	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-11	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2021-10-04	nordi	sweet16	3000000	426600550						1000	14.04